The Riemann integrable functions are \(\mathbf\Pi_{3}^{0}\)-complete in the Lebesgue integrable functions

DOI10.1016/j.jmaa.2006.09.080zbMath1125.26015OpenAlexW2023379337MaRDI QIDQ882047

Abhijit Dasgupta

Publication date: 23 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.09.080

zbMATH Keywords

\(L^p\)-spaceBorel setsRiemann integrable functionsBorel complexity\(\Pi^0_3\)-complete

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Integrals of Riemann, Stieltjes and Lebesgue type (26A42)

Cites Work

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